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preface to fifteenth edition

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11.104 SECTION 11<br />

TABLE 11.44<br />

Fac<strong>to</strong>rs for Simplified Computation of Volume<br />

The volume is determined by weighing the water, having a temperature of tC, contained or delivered by the<br />

apparatus at the same temperature. The weight of water, w grams, is obtained with brass weights in air having<br />

a density of 1.20 mg/mL.<br />

For apparatus made of soft glass, the volume contained or delivered at 20C is given by<br />

wƒ m L<br />

20 20<br />

where 20 is the volume at 20 and ƒ 20 is the fac<strong>to</strong>r (apparent specific volume) obtained from the table below for<br />

the temperature t at which the calibration is performed. The volume at any other temperature t may then be<br />

obtained from<br />

[1 0.00002(t 20)] mL<br />

20<br />

For apparatus made of any other material, the volume contained or delivered at the temperature t is<br />

t<br />

wft<br />

mL<br />

where w is again the weight in air obtained with brass weights (in grams), and f t is the fac<strong>to</strong>r given in the third<br />

column of the table for the temperature t. The volume at any temperature t may then be obtained from<br />

t<br />

t[1 (t t)] mL<br />

where is the cubical coefficient of thermal expansion of the material from which the apparatus is made.<br />

Approximate values of for some frequently encountered materials are given in Table 11.45.<br />

t, C ƒ 20 ƒ t t, C ƒ 20 ƒ t<br />

0 1.001 62 1.001 22 20 1.002 86 1.002 86<br />

1 54 16 21 1.003 05 1.003 07<br />

2 48 12 22 26 30<br />

3 43 09 23 47 53<br />

4 41 09 24 69 77<br />

5 1.001 39 1.001 09 25 1.003 93 1.004 03<br />

6 40 12 26 1.004 17 29<br />

7 42 16 27 42 56<br />

8 45 21 28 68 84<br />

9 50 28 29 95 1.005 13<br />

10 1.001 56 1.001 36 30 1.005 23 1.005 43<br />

11 63 45 31 1.005 52 1.005 74<br />

12 72 56 32 1.005 82 1.006 06<br />

13 82 68 33 1.006 13 1.006 39<br />

14 93 81 34 1.006 44 1.006 72<br />

15 1.002 06 1.001 96 35 1.006 77 1.007 07<br />

16 20 1.002 12 36 1.007 10 1.007 42<br />

17 35 29 37 1.007 44 1.007 78<br />

18 51 47 38 1.007 79 1.008 15<br />

19 68 66 39 1.008 15 1.008 53<br />

40 1.008 52 1.008 91

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